Attribute reduction in generalized one-sided formal contexts

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• 作者：Ming-Wen Shao ; ^a ; ^b ; ^{smw278@126.com" class="auth_mail" title="E-mail the corresponding author} ; ^{mingwenshao@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Ke-Wen Li^a ; ^{kwli@upc.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Attribute reduction ; Concept lattice ; Formal concept analysis ; Galois connection
• 刊名：Information Sciences
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：378
• 期：Complete
• 页码：317-327
• 全文大小：515 K

文摘

In this paper, we present a new pair of adjoint mappings between a power set and the direct product of complete lattices. The proposed pair of adjoint mappings form a Galois connection and the corresponding concept lattice is constructed from a generalized one-sided formal context. We also propose a lattice-keep-based attribute reduction approach for generalized one-sided formal contexts. Specifically, we present concrete judgment theorems and an algorithm to calculate the attribute reducts in generalized one-sided formal contexts. Furthermore, according to the importance of attributes, we discuss attributive characteristics for the proposed generalized one-sided concept lattice.